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Finding the Fourth Proportional to 5,363.82, 8,045.87 and 1,468.26

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Solution

The fourth proportional to 5,363.82, 8,045.87 and 1,468.26 is: 2,202.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363.82 : 8,045.87 = 1,468.26 : x
  2. Step 2: Convert to fraction form
    5,363.82/8,045.87 = 1,468.26/x
  3. Step 3: Cross multiply
    5,363.82x = 8,045.87 × 1,468.26
  4. Step 4: Simplify right side
    5,363.82x = 11,813,421.74
  5. Step 5: Solve for x
    x = 11,813,421.74/5,363.82
  6. Step 6: Final answer
    x = 2,202.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.